A doctor has developed a least squares regression equation that predicts 1 point the height of children (in centimeters) from their age (in months) for children up to 10 years in age. Which is the explanatory variable? * O Centimeters 6 points The maka of liquid soap sells the product in bags for use in commercial buildings. The bags have a normally distributed volume with mean u= 1990 ml and standard deviation 0 = 60 ml. The manager of an office building has ordered 40 bags of soap. If you assume the bags were selected at random from the warehouse, how many bags of soap could be expected to have less than 1900 ml? (Round your response to the nearest integer. please show your calculations) Your answer 1 point Given the following list of observations: 4 6 6 4 6 What is the mode? Your answer 1 point The following is a list of statistics regarding observations that are part of the normally distributed outcomes of a random process: H = 2.4 W o = 1.6 W2 Standard deviation = 1.25 W Mode = 3 n = 220 What is the appropriate normal model? Your answer2 points At an insurance company data from Drivers between age 16 to 35 was used to create a scatterplot with "Dollar amount of claims" as the explanatory variable and "Insured Driver age" as the response variable shows. The scatterplot shows a linear trend and least squares regression determined the best fit line to be y = 3685 - 84.5x The plot of the residuals versus age showed no pattern. A driver whose age is 25 had a residual of -$150 using the line. Did the regression line overestimate or underestimate the driver's dollar amount of claims? Explain how you reached your conclusion. (tell me why you are correct) Your answer 1 point At an insurance company data from Drivers between age 16 to 35 was used to create a scatterplot with "Dollar amount of claims" as the explanatory variable and "Insured Driver age" as the response variable shows. The scatterplot shows a linear trend and least squares regression determined the best fit line to be y = 3685 - 84.5x The plot of the residuals versus age showed no pattern. For the response and explanatory variables above, is the correlation between the variables positive or negative? Explain how you reached your conclusion. (tell me why you are correct) Your answerWhat is the missing value in the probability distribution chart shown below, remember to show our calculations: Your answer Untitled Question * 'I point At an insurance company data from Drivers between age 16 to 35 was used to create a scattcrplot with \"Dollar amount ofclaims\" as the explanatory variable and \"Insured Driver age" as the response variable shows. The scatterle shows a linear trend and least squares regression determinedthe best t line to be 5': = 3685 84.53: The plot of the residuals versus age showed no pattern. If the age of a driver increases by one year, then by how much would the dollar amount of claims be predicted to change for that driver? 0 Decrease by $84.50 0 Increase by $3600.50 0 Increase by $84.50 0 Increase by $3685 At an insurance company data from Drivers between age 16 to 35 was used to create a scatterplot with \"Dollar amount of claims\" as the explanatory variable and \"Insured Driver age\" as the response variable shows. The scatterplot shows a linear trend and least squares regression determinedthe best t line to be 5'7 = 3685 84.52: The plot of the residuals versus age showed no pattern. Suppose you used the best t line to estimate the dollar amount of claims for an insured driver who is age 55 years. That prediction is known as: 0 Forecast 0 Extrapolation 0 Unknown range 0 Extended result Please answer both parts a) and b) * 5 points A drug maker claims that the medicine they produce is 90% effective to reduce pain. A consumer advocate group selected a sample of 20 people at random to test this claim. Consumers take the medicine when needed and report any reduction in pain (You can assume the binomial model is appropriate. Show you work. rounded to 4 decimal places) a) If the drug maker is correct, how many people should experience pain relief in the trial? b) What is the probability that only 18 of 20 consumers in the sample will experience pain relief? Your answer A drug maker claims that the medicine they produce is 90% effective to reduce pain. A consumer advocate group selected a sample of 20 people at random to test this claim. Consumers take the medicine when needed and report any reduction in pain. (You can assume the binomial model is appropriate. Show you work, rounded to 4 decimal places) a) If the drug maker is correct, how many people should experience pain relief in the trial? b) What is the probability that only 18 of 20 consumers in the sample will experience pain relief? Your answer 2 points Given the following sequence of observations: 19 19 20 21 22 23 25 35 What is the mean? Show your work please. Your